Non-Newtonian Lubrication With the Convected Maxwell ModelSource: Journal of Tribology:;1996:;volume( 118 ):;issue: 002::page 344Author:J. A. Tichy
DOI: 10.1115/1.2831307Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In certain applications where the lubricant is subjected to rapidly changing conditions along its flowing path (such as an elastohydrodynamic contact), the time dependent nature of the lubricant may be significant. One of the simplest types of models to account for such fluid time dependence is the Maxwell model. The time derivative used in such a model must be written with respect to coordinates which translate and rotate with the fluid, or coordinates which deform with the fluid. Unfortunately, such derivatives greatly complicate problems and are rarely used, due to nonlinear coupling of stresses. An admissible formulation of the Maxwell viscoelastic fluid model using the convected derivative has been applied to lubrication flow. Using a regular perturbation in the Deborah number, with the conventional lubrication solution as the leading term, a solution can be obtained. Viscoelasticity may raise or lower pressure depending on combinations of surface slope and curvature.
keyword(s): Lubrication , Fluids , Lubricants , Stress , Viscoelasticity , Viscoelastic fluids , Pressure AND Flow (Dynamics) ,
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contributor author | J. A. Tichy | |
date accessioned | 2017-05-08T23:51:45Z | |
date available | 2017-05-08T23:51:45Z | |
date copyright | April, 1996 | |
date issued | 1996 | |
identifier issn | 0742-4787 | |
identifier other | JOTRE9-28519#344_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/117733 | |
description abstract | In certain applications where the lubricant is subjected to rapidly changing conditions along its flowing path (such as an elastohydrodynamic contact), the time dependent nature of the lubricant may be significant. One of the simplest types of models to account for such fluid time dependence is the Maxwell model. The time derivative used in such a model must be written with respect to coordinates which translate and rotate with the fluid, or coordinates which deform with the fluid. Unfortunately, such derivatives greatly complicate problems and are rarely used, due to nonlinear coupling of stresses. An admissible formulation of the Maxwell viscoelastic fluid model using the convected derivative has been applied to lubrication flow. Using a regular perturbation in the Deborah number, with the conventional lubrication solution as the leading term, a solution can be obtained. Viscoelasticity may raise or lower pressure depending on combinations of surface slope and curvature. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Non-Newtonian Lubrication With the Convected Maxwell Model | |
type | Journal Paper | |
journal volume | 118 | |
journal issue | 2 | |
journal title | Journal of Tribology | |
identifier doi | 10.1115/1.2831307 | |
journal fristpage | 344 | |
journal lastpage | 348 | |
identifier eissn | 1528-8897 | |
keywords | Lubrication | |
keywords | Fluids | |
keywords | Lubricants | |
keywords | Stress | |
keywords | Viscoelasticity | |
keywords | Viscoelastic fluids | |
keywords | Pressure AND Flow (Dynamics) | |
tree | Journal of Tribology:;1996:;volume( 118 ):;issue: 002 | |
contenttype | Fulltext |